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Finding the Fourth Proportional to 8,719, 12,031.83 and 4,942.11

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Solution

The fourth proportional to 8,719, 12,031.83 and 4,942.11 is: 6,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719 : 12,031.83 = 4,942.11 : x
  2. Step 2: Convert to fraction form
    8,719/12,031.83 = 4,942.11/x
  3. Step 3: Cross multiply
    8,719x = 12,031.83 × 4,942.11
  4. Step 4: Simplify right side
    8,719x = 59,462,627.36
  5. Step 5: Solve for x
    x = 59,462,627.36/8,719
  6. Step 6: Final answer
    x = 6,819.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.